I've seen various cases of one iteration of a franchise being deliberately vague about whether or not it connected to a previous version -- it didn't actually fit, but it suggested enough of the look and feel of the other to fool the casual viewer. For instance, the current Avengers Assemble cartoon, despite being set in the same continuity as the Ultimate Spider-Man cartoon (and the later Hulk and the Agents of SMASH), is constantly aping elements of the Avengers movie and trying to pass itself off as a continuation -- while also pretending to be similar enough to the earlier Avengers: Earth's Mightiest Heroes cartoon that people wanting or expecting a sequel to that will believe it is if they don't look too closely.
A similar case was the '90s Spider-Man Unlimited, which initially gave the impression of being a rough sequel series to the previous animated Spider-Man (even quoting its theme music briefly in the premiere episode), but eventually diverged enough that it was clearly unconnected. And then there's The Incredible Hulk -- now we recognize that it's part of the MCU and a reboot from the Ang Lee Hulk film, but at the time, since it wasn't a new origin story, it seemed like a loose sequel to a lot of people.
So I wouldn't be surprised if they went that route -- not actually in the Nolanverse, but implying a similar enough backstory that the casual viewer might think it is.
There were several things in TIH that seemed to directly reference the Ang Lee film at the time. Banner was in South America, he was trying not to become the Hulk, etc. It really did really leave you wondering how it fit with the previous film.